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Two long straight wires are parallel to each other. Each current is 8 A and they are 4 cm apart from each other. Find the force per unit length between the wires.
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The closed form of $\displaystyle\frac{d}{d \lambda} \frac{e^{c \sqrt{\lambda}} \sqrt{\lambda}}{c \sqrt{\lambda}}$ is $$\frac{e^{c \sqrt{\lambda}} \left(c^2 \sqrt{\lambda}-2\right)}{2c^3}.$$
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What is the variance of a geometric distribution for a given probability?
(1-p)/p^2
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An important application of exponential smoothing techniques in forecasting is: a. identifying univariate time-series models. b. identifying if an economic time-series has a unit root or not. c. both A and B. d. neither A or B.
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A magnetic field {eq}B_1 = 0.53 \ T {/eq} is applied to a paramagnetic gas in a cylindrical container with a cross-sectional area of {eq}4.3 \times 10^{-2} \ m^2 {/eq}. The field points along the axis of the cylinder. If {eq}6.7 \times 10^22 {/eq} of the atoms in the gas have permanent magnetic dipoles with a magnet...
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May Industries has a bond outstanding that sells for $751. The bond has a coupon rate of 7.00 percent and 20 years until maturity. What is the yield to maturity of the bond?
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Freeman Corporation has provided the following financial data for the month of February: Net operating income $28,500 Interest expense 2,000 Tax expense 3,200 Increase in cash and cash equivalents 3,400 The company's net cash flow for February was: a. $34,700 b. $31,300 c. $32,100 d. $28,500
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How much is the single plantwide predetermined overhead rate in 2010, given the following data: Budgeted overhead costs for 2010, $225,000; Budgeted direct labor hours for 2010, 15,000; Budgeted overhead costs for 2010, $300,000; Budgeted direct labor hours for 2010, 20,000; Budgeted machine hours for 2010, 6,000?
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Which of the following statements most appropriately describes how agency costs affect a firm's choice of capital structure? Explain. a. When firm owners borrow money, they have an incentive to engage in excessive risk taking (that is, investing in very risky projects) since they are managing someone else's money. b....
B
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Find the area of the region cut from the six-leaved rose r^2 = 6 cos 3 \theta.
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If your P-value is less than 0.05, then: (a) you should definitely reject the null hypothesis (b) you should not reject the null hypothesis (c) your test statistic is larger than 1.96 (d) none of the above
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A marketable stock security was purchased at a cost of $86,000 and sold for $100,500 cash later in the year. The amount received from the sale of the security would equal an increase in stockholders' equity of: a. $86,000 b. $100,500 c. $12,000 d. $13,500
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Write an equation in {eq}x \ and \ y \ that \ represents \ the \ curve \ where \ the \ field \ line \ intersect \ with \ the \ equipotential \ surface \ which \ has \ equation \ x^2 + y^2 = 9.
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A mercury battery has a voltage of 1.35 V. A typical adult kidney has a voltage of 0.07 V across it and contains 0.2 L of solution. Using 98% efficient ATP production, how many kilocalories are produced in a kilogram of healthy kidney over a period of 24 hours? Assume 1 mole of ATP is produced per 1 mole of Hg produced...
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Suppose the Tasmanian state government is considering imposing additional taxes on cigarettes to curb health related problems. Assume there is no interstate trade of cigarettes. You have been hired by the state government to provide some analysis of the proposed policy. a) Previous studies indicate that the price elas...
50%
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Which of the following research and development related costs should be capitalized and amortized over current and future periods? a) Labor and material costs incurred in building a prototype model. b) Cost of testing equipment that will also be used in another separate research and development project scheduled to b...
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MNO Corporation gross income from operations was $500,000 in the current taxable year and its expenses from operations were $300,000. MNO also received a $100,000 dividend from a 35% -owned corporation. How much is MNO's dividends-received deduction? a. 0 b. $7,500 c. $35,000 d. $70,000 e. $100,000
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A monopolist faces the following inverse demand curve: p = 10 - Q The monopolist has constant marginal (and average) cost of 2 and does not have fixed costs. What is the Lerner Index at the monopolist's profit-maximizing quantity?
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Max spends all his money on goods A and B. Suppose that the price of good A is $4, while the price of good B is $2. Suppose that Max currently has 3 units of A and 4 units of B. If the marginal utility of A is 15 and the marginal utility of B is 6, then Max should: a. buy more A and less B. b. buy more B and less A...
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Cella, Inc.'s stock is currently trading at $50 per share, and the security's expected return is 15% per year. You expect all of this return to be paid as a cash dividend; no price increase is expected. The risk-free rate is 5% per year and the market's risk premium is 9%. What will be Cella, Inc.'s new equilibrium p...
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Epsilon Co. can produce a unit of product for the following costs: Direct material $7.90 Direct labor $23.90 Overhead $39.50 Total costs per unit $71.30 An outside supplier offers to provide Epsilon with all the units it needs at $60 per unit. If Epsilon buys from ...
E
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A final product of the citric acid cycle is: a) CH3-CoA. b) FADH2. c) NADH. d) Succinyl CoA.
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The double layer at the condition of the PZC equals to: A) the solution pH B) the surface charge density equals to zero C) the surface charge density equals to one unit D) both A and B
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Which of the following statements is true of information systems? a) Sales and marketing departments must compete with the accounting department for information systems resources. b) Information systems are designed to benefit the entire organization. c) An information system's value cannot be measured in dollars. ...
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The components of aggregate expenditure include all of the following, EXCEPT: A. household consumption expenditure. B. profit. C. government expenditure. D. net exports.
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Willows, Inc. has net working capital of $595, long-term debt of $1,600, and total assets of $2,430. The firm also has the following income statement: Sales $4,200 Cost of goods sold $2,430 Depreciation $450 EBIT $320 Interest expense $135 Taxable income $185 Taxes (35%) $65 Net income $120 Dividends $72 Addition to ...
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The reaction of {eq}ICl {/eq} with hydrogen $$2ICl + H_2 \rightarrow I_2 + 2HCl $$ is the first order in {eq}ICl {/eq} and third order overall. Compute the rate law for the reaction.
rate = k[ICl][H_2]^2
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What is the pH of a solution prepared by mixing 90.0 mL of 0.100 M HC{eq}_2 {/eq}H{eq}_3 {/eq}O{eq}_2 {/eq} with 120 mL of 0.580 M NaOH? A. 12.27 B. 13.86 C. 13.36 D. 12.83 E. 11.99
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Houston Manufacturing Corporation bought a new machine for $15,000. The machine has a six-year life and a residual value of $5,000. The company's yearly depreciation expense is $2,000. What amount of salvage value would the machine have to have to make the cash flow from operations a total of $26,000 (assuming no other...
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A firm can achieve economies of scale in the short run by: a. increasing the number of workers. b. investing in more efficient capital. c. hiring only marginal workers. d. reducing worker skill.
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Between 2017 and 2018, the price of a book increased from $25 to $30 and the number of books sold decreased from 40,000 to 30,000. This means that: A) the demand for books is price inelastic. B) there were no substitutes for other types of reading materials. C) the marginal benefit of reading books increased. D) th...
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A US company's foreign subsidiary has as its functional currency the local currency. Year- end financial statements are being consolidated. The average rate would be used for which account of the foreign entity? a. depreciation b. sales c. deferred credits d. deferred tax assets
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To meet the material participation test for a rental real estate activity, over what percentage of the taxpayer's personal service rendered during the year must be rendered for a trade or business involving real estate? A) 10% B) 25% C) 50% D) 75% E) 80%
C
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What is the implied annual rate if you finance $1,000 by making five annual installment payments of $250.52, with the first payment being due immediately?
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Kangaroo Company is producing a sub-assembly used in the production of a product. The costs incurred per unit for the sub-assembly are as follows: Dollars Direct materials $3.00 Direct labor $6.00 Variable factory overhead $1.00 Fixed s...
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Determine the critical points of the function {eq}f(x) = 4 \sqrt{x} + 36/x{/eq} and classify them as local maxima or local minima.
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Assume an investor purchased a three-month T-bill with a $10,000 par value for $9,500 and sold it 45 days later for $9,600. What is the yield?
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Deshan Company acquired the following assets in 2013 for use in its business. Mortgage on building $ 20,000,000 Building 45,000,000 Equipment 18,000,000 Goodwill 25,000,000 Totals $ 118,000,000 However, due to a number of errors, these assets were not correctly recorded on the books. 1. Building The buildi...
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1. LTC Co. has a capital structure of 35% debt and 65% equity. Tax rate 40%. Risk free rate is 2%. RPm 5% Beta .3. Debt consists of a $3 million loan at stated rate of 6% and $2 million bonds at cost to maturity of 5%. What is the cost of equity? 6.5% 8.5% 3.9% 7%
3.9%
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Sarver Corporation manufactures and sells one product. The following information pertains to the company's first year of operations: The company does not have any variable manufacturing overhead costs or variable selling and administrative costs. During its first year of operations, the company produced 22,000 units...
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Car X and Y enter an intersection at the same time. Car X is traveling towards the north at a speed of 30 mph, while Y is traveling toward the east at 50 mph. After 2 hours, how many miles apart are the two vehicles? A) 55 B) 56.6 C) 64 D) 72.1
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Economists generally define institutions as all of these, except as a.government free of corruption. government that controls resource allocation. legal system that enforces contracts and laws. strong monetary system.
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Yao Inc. stock is expected to pay a dividend of $4.25 per share at the end of the year. The stock currently sells for $92.50 per share and has a beta of 1.50. The risk-free rate is 2.50%. The market risk premium is 4.50% and the tax rate is 25%. What is the best estimate of the expected future dividend growth rate? a....
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Which of the following statements is true about coupon bonds? a) The coupon rate does not depend on the market interest rate. b) The price of a bond and the interest rate are positively related. c) The price of a bond is equal to the present value of the face value of the bond plus the present value of the coupon pa...
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Mendez Corporation issues 2,000 ten-year, 8%, $1,000 bonds dated January 1, 2007, at 103. The journal entry to record the issuance will show a: a. debit to Cash of $2,000,000 b. debit to Premium on Bonds Payable for $60,000 c. credit to Bonds Payable for $2,000,000 d. credit to Cash for $2,060,000
c
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Use the Laplace transform to solve the initial value problem: $$y'' - 2y' + y = 0, \quad y(0) = 0, \quad y'(0) = 2$$
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If a firm has a long-term debt ratio of .38 and a current ratio of 1.33, what is its debt-equity ratio and equity multiplier?
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Below are two parametric equations for the same curve. How does one go from the first set to the second? {x(t) = 4t^3 - 3t {y(t) = 3t^2 - 1 {z(t) = 2t {x = 2sin(t) - sin(2t) {y = 2cos(t) - cos(2t) {z = t
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Gian has determined the following for a proposed capital budgeting project. The after-tax cost of debt = 8.1% The after-tax cost of preferred stock = 7.5% The cost of equity = 11.2% The tax rate = 25% The target capital structure = 35% debt, 6% preferred stock and 59% equity. What is the WACC?
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Suppose the public's demand for currency increases. If the Fed does nothing, the monetary base _____ and reserves _____. a. rises; rise b. remains unchanged; fall c. rises; fall d. remains unchanged; remain unchanged
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Let $X_1$ and $X_2$ be independent and uniformly distributed on $(\Theta , \Theta + 1)$. Consider the two tests with critical regions $C_1$ and $C_2$ given by $C_1 = \left \{ (x_1, x_2)| x_1 ≥ .95 \right \}$ and $C_2 =\left \{ (x_1,x_2)|x_1 +x_2 ≥c \right \}$ to test $H_0 :\Theta=0$ versus $H_1 :\Theta=\frac{1}{2}$. Fi...
0.95
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Sedgewick Company uses a standard cost system and has established the following standards for one unit of product. Direct material 2.6 pounds at $9 per pound Direct labor 1.5 hours at $12 per hour During one month, Sedgewick recorded the following activity. 1. The company pro...
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On January 1, 2016, Bond, Inc., issued 1,600 of its $1,000 face value bonds at par. Each bond was issued with one detachable warrant entitling the bondholder to purchase 5 shares of $1 par value common stock at $15 per share. On January 1, 2016, when the bonds were issued, the market value of the bonds without the warr...
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Carver Entertainment entered into a one-year operating lease of land that cost $2,500,000 to the lessor. How would this lease affect the company's financial statements? a. Increase liabilities by $2,500,000 and increase expenses by $2,500,000. b. Increase assets by $2,500,000 and increase liabilities by $2,500,000. ...
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General Co. is growing quickly. Dividends are expected to grow at a rate of 26.8 percent for the next three years, with the growth rate falling off to a constant 6.2 percent thereafter. If the required return is 13.1 percent, and the dividend just paid was $2.10, what is the current stock price?
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Find the least value of n for which the sum of the first n terms of the arithmetic progression 6, 13, 20, ... exceeds 2000.
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ACME is investigating the need to replace a combined water filtration pump and motor set (defender) with a more efficient running one (challenger). The market price for the existing pump is $20,000.00. Its remaining useful life is 3 years where its salvage value is $5,000.00. The O&M costs are $4,000 per year. The new ...
D
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You have $20,000 in your savings account at the end of year 5. How much did you have in the account at the end of year 4 if the interest rate for the 5th year was 5%?
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Is there an alternative approach to show that $(a_n)=((n^{1/n})$ is bounded, given that it is convergent and thus bounded? Can a proof be constructed based on the fact that $0 \le n^{1/n} \le 1 + \frac{1}{n}$?
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A molecule has the formula {eq}HC_5H_7O_2^+ {/eq} and a {eq}K_a {/eq} value of {eq}3.4 \times 10^{-5} {/eq}. Calculate the pH of a 0.1 M solution of the molecule.
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In 2016, the management of the Sugars Company plans to eliminate a division that is producing a small notebook with a cover made of genuine leather. This division showed a loss of $130,000 in 2016. Sugars has just received information that if it discontinues this division and rents the space used to make the leather-co...
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Suppose there are two bonds outstanding, both with a par value of $1000 and an annual coupon rate of 6%. Bond A pays interest semiannually, while Bond B pays interest annually. If both bonds have a yield to maturity of 8%, which of the following statements is true: a. Bonds A and B have the same price. b. Bond A has ...
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Suppose you know that a company's stock currently sells for $54 per share and the required return on the stock is 9 percent. You also know that the total return on the stock is evenly divided between a capital gains yield and a dividend yield. If it's the company's policy to always maintain a constant growth rate in it...
$2.33
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The annual growth rate of The Johnson Corporation's dividends is expected to be: 12% starting year 0 till year 4 10% starting year 4 till year 8 7% starting year 8 and thereafter The required rate of return on The Johnson Corporation is 14% The last dividend per share was $2.75 What is the price of The Johnson Corp...
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You wish to borrow $2,000 to be repaid in 12 monthly installments of $189.12. The annual interest will be: a. 24% b. 8% c. 18% d. 12%
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For the following data compute the standard error of estimate. The number of kilowatt-hours used during the month by a sample of 50 residences in a Suburban community were recorded. The sample mean is {eq}900 {/eq}kWh, and the sample standard deviation is {eq}250 {/eq}kWh.
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Benton Corporation owns no plant assets. It had a profit margin of 10% and an asset turnover of 2.0. Net income was $350,000. Benton's return on total assets was closest to: a) 3.5% b) 20% c) 200% d) 5%
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In each of the following cases, determine the amount of the change in fixed costs or variable costs that would result from the indicated changes in activity. The results should be stated in total terms and per unit terms. (a) The 10,000-unit break-even point (BEP) is equal to 32,000 units when fixed costs are $400,000...
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Listed below are highway fuel consumption amounts (mi/gal) for cars categorized by the sizes of small, midsize, and large. Using a 0.05 significance level, test the claim that the three size categories have the same median highway fuel consumption. Use the Kruskal-Wallis test. small 28 26 23 24 26 24 25 Midsize 28 31 2...
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A sphere of radius 14 cm carries a uniform charge density of {eq}6.0 \mu C/m^3. {/eq} What is the electric field at a point 21 cm to the right of the center of the sphere?
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Which of the following is a subsidiary? a. A company that operates in many foreign countries but retains its legal identity b. A foreign company that conducts business in the United States without establishing a permanent facility in this country c. A company that maintains a separate legal identity from its parent ...
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M&M Proposition I with tax implies that A. the value of a firm is inversely related to the amount of leverage used by the firm. B. a firm's cost of capital is the same regardless of the mix of debt and equity used by the firm. C. a firm's cost of equity increases as the debt-equity ratio of the firm decreases. D. a...
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Assume that banks operate in a perfectly competitive market. The demand for loans is {eq}Q^D = 160 - 20P {/eq} and the supply of loans is {eq}Q^S = 4P - 60 {/eq}. The government imposes a ceiling price in the market for loans at a price below the equilibrium price. Which of the following options correctly describes ...
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Kwik Kwong Taxis is considering purchasing additional OBD diagnostic equipment for $88,000. The equipment will be depreciated straight-line to zero over four years. It will cost the firm $2,000 to get the new equipment delivered and installed. The equipment will be worth 10% of its original cost at the end of four yea...
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At an activity level of 8,700 machine-hours in a month, Nooner Corporation's total variable production engineering cost is $744,720 and its total fixed production engineering cost is $181,560. What would be the total production engineering cost per unit, both fixed and variable, at an activity level of 8,900 machine-ho...
$106.00
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A {eq}25 {/eq}-year bond with a face value of {eq}\$1,000 {/eq} and a coupon rate of {eq}8 \% {/eq} paid semiannually has a yield to call of {eq}7 \% {/eq}. The bond is callable in {eq}5 {/eq} years. What is the bond's call premium?
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Countrymen Company reports the following information for January: Direct materials Work in process, beginning $36,000 Costs added during the month $54,000 Units completed during the month 12,000 units Calculate the unit costs using the weighted-average method. a. $7....
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Bowie Sporting Goods manufactures sleeping bags. The manufacturing standards per sleeping bag, based on 5,000 sleeping bags per month, are as follows: Direct material of 4 yards at $6 per yard Direct labor of 3 hours at $17 per hour Overhead applied per sleeping bag at $19. In the month of April, the company actually...
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Suppose the market demand and supply functions are {eq}Q_D = 220 - 1.6P {/eq} and {eq}Q_S = 4P - 116 {/eq}. You have just graduated and moved to this city; as a new MBA and an entrepreneur, you are considering entering the market for this product. You've researched and found that most firms in the market currently ex...
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Which is the incorrect formula for the price of a bond with an {eq}n {/eq} period maturity, face value of {eq}\$100 {/eq}, and {eq}n {/eq} coupon payments? a. {eq}P = \sum_{i = 1}^{n}\frac{C}{(1 + YTM)^{n - i}} + \frac{PV}{(1 + YTM)^n} {/eq}, b. {eq}P = \sum_{i = 1}^{n}\frac{C}{(1 + Yield)^{n - i}} + \frac{Face V...
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Find the indefinite integral. ∫ (7 - e^x) / e^(5x) dx (Use C for the constant of integration.)
-7/5e^{-5x}+1/4e^{-4x}+C
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In 2015, the Lancaster Company had a total overhead spending variance of $70,000 (U). The flexible budget variances for variable and fixed overhead are $44,000 (F) and $16,000 (F), respectively. What was the allocation of the $70,000 U total overhead variance? A. $44,000 F, $16,000 U, $10,000 U B. $44,000 U, $16,000 ...
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Kirk Corporation bases its predetermined overhead rate on machine-hours. At the beginning of the year, Kirk was given a $16,000 budget for overhead costs, and a 5,000 machine-hour budget for the year. The actual total machine-hours for the year were 3,000 hours. Kirk estimated that 2,000 units would be produced this ye...
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Calculate the NPV for each project (round to the nearest thousand dollars) and based on your analysis which project is preferred. Project X Project Y Cost $29,000 $45,000 Revenue Year 1 $12,000 $7,500 Revenue Year 2 $12,000 $10,000 ...
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Build your own Bond Calculate the price of a 5%, 10-year bond issued by Face Value Corporation on January 1, 2005, with the following characteristics: Interest paid semiannually on June 30 and December 31 Maturity date December 31, 2014 Market rate of interest is 10% (5% as of each payment date) Coupon rate of interes...
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Xynga has an equity multiplier of 1.68, a total asset turnover rate of 1.44, and a profit margin of 3.9%. The company has a debt ratio of 0.66, an aftertax cost of debt of 6.5%, and a tax rate of 38%. The company's net income was $4.9 million last year. What was its EBIT?
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When have we not observed fixed exchange rates? a) In developing countries today. b) Between 1945-73. c) In the decades prior to WWI. d) Between the US and Japan in the 1980s.
d
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Mendes Corporation manufactures a variety of products. The following product-line income statement for the most recently completed year appears below: Sales $509,000 Variable expenses: Variable manufacturing expenses $301,000 Sales commissions 80,000 Shipping e...
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If the battery in the given circuit is replaced by an ideal ac source with angular frequency ω, how does the maximum value of current flowing through the resistance R change with different values of angular frequency ω? a) Increases as ω increases b) Decreases as ω increases c) First increases, then decreases as ω...
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Your firm uses a periodic review system for its inventory control. The review period is two weeks, and the lead time for the product is 1 week. Weekly demand is normally distributed, with a mean of 100 units and a standard deviation of 20 units. At the time of the current review, there are 50 units in stock. If the fir...
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Royal Company builds high-end golf carts. Royal budgets that they will sell 12 carts during the month of May at a price of $44,000 per cart. Actual carts sold by Royal during May were 11 carts at a price of $45,660 per cart. The flexible budget variance for Royal during May was:
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Suppose you interview the 100 employees in your department and find that 78 of them are interested in learning foreign languages. You also know that 55 employees in your department are women and 25 men are interested in learning foreign languages. If you choose a male employee at random, what is the probability that he...
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Let $a_1, a_2,\ldots, a_{100}$ be non-zero real numbers such that $$a_1 + a_2 + \cdots + a_{100} = 0$$ Then A - $\sum_{i=1}^{100} a_i 2^{a_i}\ge0$ and $\sum_{i=1}^{100} a_i 2^{-a_i}\ge0$ B- $\sum_{i=1}^{100} a_i 2^{a_i}\gt0$ and $\sum_{i=1}^{100} a_i 2^{-a_i}\lt0$ C $\sum_{i=1}^{100} a_i 2^{a_i}\le0$ and $\sum_{i=1}^{1...
D
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Which of the following is not correct regarding the margin of safety? A. It is the difference between contribution margin and fixed cost. B. It is the difference between actual and break-even sales. C. It is the difference between actual and budgeted sales. D. It expresses the amount by which sales may decline befo...
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A bucket full of sand has a mass of 15 kg (including the bucket and the sand). The bucket is to be lifted to the top of a building 30 meters tall by a rope of negligible weight. However, the bucket has a hole in it, and leaks 0.1 kgs of sand each meter it is lifted. Find the work done lifting the bucket to the top of t...
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Lithium, Li (atomic mass = 6.94 g/mol) occurs naturally as a mixture of two stable isotopes, Li-6 (natural abundance 7.42%, mass = 6.015 g/mol) and Li-7 (natural abundance 92.58%, mass = 7.016 g/mol). Calculate the atomic mass of natural lithium.
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Given the following data, calculate the fixed cost, variable cost, and total cost. Total product Total fixed cost Total variable cost 0 $8 $0 1 $8 $24 2 $8 $26 3 $8 $30 4 $8 $35 5 ...
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Compute the exact interest on a loan of $1,400 for 75 days. The bank uses a 365-day year. (Do not round intermediate calculations. Round your answer to the nearest cent.) Exact interest$_____
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Given that {eq}w =t^2+ \tan te^{\frac{1}{s}} {/eq}, verify that {eq}s^2\frac{\partial w}{\partial s} {/eq}+ {eq}t\frac{\partial w}{\partial t} =2t^2 {/eq}.
2t^2
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6% coupon rate, semiannual payment, $1,000 par value bond that matures in 25 years sells at a price of $523.21. The company's federal-plus-state tax rate is 40%. What is the firm's after-tax component cost of debt for purposes of calculating the WACC? (Hint: Base your answer on the nominal rate.)
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